Q82.The coefficient of x2012 in the expansion of 1 - x20081 + x + x22007 is equal to _____.
What This Question Tests
This problem tests the ability to find the coefficient of a specific term in a complex algebraic expansion by recognizing the sum of a geometric series and applying binomial theorem concepts.
Concepts Tested
Formulas Used
1 + x + ... + x^(n-1) = (1-x^n)/(1-x)
(1-x^a)/(1-x) * (1-x^b)/(1-x)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficient of a term in binomial expansion
- Year
- 2024
- Shift
- 27 Jan Shift 2
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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